Finite Group Databasebeta

← Group #11872773

Character table — Group #11872773

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666634466688121212122424242444441212121241212121212121212242424242424222244881212121224242424121212121224666666812242424441228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-111-1-1-1-111111-1111-1-1-1-11111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-11-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-11-1-111-1-11-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-11-111-1-111-11-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-1-1-1111-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-111-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1111-111-1-1111-111-1-111-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-11-1-111-1-111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-111-1-11111-1-11-11111-1-1-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111111-1-111-11-1-111-1-1-11-1-1-1-1111-11
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000002-200-2-222000000000000000000-200-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-20000000000-2200-2-2-2-20000000000000000002002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000002-2002222000000000000000000-2002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-20000000000-220022-2-2000000000000000000200-2200000
χ2122222-1222-1-12-12-122-1-1-1222-1-12-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-122000022-1-100-1-1-1-12-1-1-1-12000-1-1-1-100000000000
χ2222222-1222-1-12-12-122-1-1-1222-1-12-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1-2-20000-2-2110011112-1-1-1-1-2000111100000000000
χ2322222-1222-1-12-12-122-1-1-1-2-22-1-1211112222-1-1-1-1-222-1-111-1-1-2-21111220000-2-2-1-1001111-2-1-111-2000-1-11100000000000
χ2422222-1222-1-12-12-122-1-1-1-2-22-1-121111-2-2-2-21111-222-1-111-1-1-2-21111-2-20000221100-1-1-1-1-2-1-111200011-1-100000000000
χ2522222-1222-1-12-12-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-2000022-1-100-1-1-1-1-21111-2000111100000000000
χ2622222-1222-1-12-12-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1220000-2-211001111-211112000-1-1-1-100000000000
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-12-2-211-1-1-1-1-2-21111-2-20000-2-2-1-1001111211-1-1200011-1-100000000000
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-22-1-121111-2-2-2-211112-2-211-1-1-1-1-2-21111220000221100-1-1-1-1211-1-1-2000-1-11100000000000
χ292222-1222-122-12-1-122-1-1-122-122-12222000000002-1-12222-1-1-1-1-1-1-1-10022220000-1-10000-1-1-1-1-102-1-100002-1-1-10000-100
χ302222-1222-122-12-1-122-1-1-122-122-12222000000002-1-12222-1-1-1-1-1-1-1-100-2-2-2-20000110000-1-1-1-1-10-2110000-21110000100
χ312222-1222-122-12-1-122-1-1-1-2-2-122-1-2-2-2-200000000-2-1-122-2-2-1-11111110022220000-1-100001-1-1110-2-1-10000-2-1110000100
χ322222-1222-122-12-1-122-1-1-1-2-2-122-1-2-2-2-200000000-2-1-122-2-2-1-111111100-2-2-2-200001100001-1-1110211000021-1-10000-100
χ332222-1222-122-12-1-1-2-2-1-1-122-122-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-10022-2-200001100001111102-1-10000-21110000-100
χ342222-1222-122-12-1-1-2-2-1-1-122-122-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-100-2-2220000-1-10000111110-21100002-1-1-10000100
χ352222-1222-122-12-1-1-2-2-1-1-1-2-2-122-1-2-2-2-200000000211-2-222-1-11111110022-2-20000110000-111-1-10-2-1-1000021-1-10000100
χ362222-1222-122-12-1-1-2-2-1-1-1-2-2-122-1-2-2-2-200000000211-2-222-1-111111100-2-2220000-1-10000-111-1-102110000-2-1110000-100
χ3722-2-2222-222-2-2-2-222i−2i-22-200-22-2200002i−2i2i−2i2i2i−2i−2i02i−2i2i−2i00-220000002-20000002i−2i00000002i−2i0000002-20000000000000
χ3822-2-2222-222-2-2-2-222i−2i-22-200-22-220000−2i2i−2i2i−2i−2i2i2i02i−2i2i−2i00-22000000-22000000−2i2i00000002i−2i000000-220000000000000
χ3922-2-2222-222-2-2-2-22−2i2i-22-200-22-2200002i−2i2i−2i2i2i−2i−2i0−2i2i−2i2i00-22000000-220000002i−2i0000000−2i2i000000-220000000000000
χ4022-2-2222-222-2-2-2-22−2i2i-22-200-22-220000−2i2i−2i2i−2i−2i2i2i0−2i2i−2i2i00-220000002-2000000−2i2i0000000−2i2i0000002-20000000000000
χ4122-2-222-2222-2-2-2-2200-22-2002-22-200002i−2i−2i2i2i2i−2i−2i00000002-2000000002-20000−2i2i00000000000002-200000000002i−2i000
χ4222-2-222-2222-2-2-2-2200-22-2002-22-200002i−2i−2i2i2i2i−2i−2i00000002-200000000-220000−2i2i0000000000000-220000000000−2i2i000
χ4322-2-222-2222-2-2-2-2200-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-2000000002-200002i−2i00000000000002-20000000000−2i2i000
χ4422-2-222-2222-2-2-2-2200-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-200000000-2200002i−2i0000000000000-2200000000002i−2i000
χ4522-2-22-12-22-11-21-2-12i−2i1-1100-2-112−i3−i3i3i32i−2i2i−2i−i−iii02i−2i−ii3−31-100−i3−i3i3i32-2000000−ii0033−3−30−ii3−30000-11−i3i300000000000
χ4622-2-22-12-22-11-21-2-12i−2i1-1100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i02i−2i−ii3−31-100−i3−i3i3i3-22000000i−i00−3−3330−ii3−300001-1i3−i300000000000
χ4722-2-22-12-22-11-21-2-12i−2i1-1100-2-112i3i3−i3−i32i−2i2i−2i−i−iii02i−2i−ii−331-100i3i3−i3−i32-2000000−ii00−3−3330−ii−330000-11i3−i300000000000
χ4822-2-22-12-22-11-21-2-12i−2i1-1100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i02i−2i−ii−331-100i3i3−i3−i3-22000000i−i0033−3−30−ii−3300001-1−i3i300000000000
χ4922-2-22-12-22-11-21-2-1−2i2i1-1100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0−2i2ii−i−331-100−i3−i3i3i3-22000000−ii0033−3−30i−i−3300001-1i3−i300000000000
χ5022-2-22-12-22-11-21-2-1−2i2i1-1100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0−2i2ii−i−331-100−i3−i3i3i32-2000000i−i00−3−3330i−i−330000-11−i3i300000000000
χ5122-2-22-12-22-11-21-2-1−2i2i1-1100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0−2i2ii−i3−31-100i3i3−i3−i3-22000000−ii00−3−3330i−i3−300001-1−i3i300000000000
χ5222-2-22-12-22-11-21-2-1−2i2i1-1100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0−2i2ii−i3−31-100i3i3−i3−i32-2000000i−i0033−3−30i−i3−30000-11i3−i300000000000
χ5344444-2-4-44-2-24-24-200-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-200-422-40000-4-444222200000002200000000000000-2-2000000000000000000000000000000
χ554444-24-4-4-244-24-2-200-2-2-2002-4-4200000000000000000002200000000004-40000-2-20000000000000000002000000000
χ564444-24-4-4-244-24-2-200-2-2-2002-4-420000000000000000000220000000000-44000022000000000000000000-2000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000211-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-44-2-444-22-42-4-2002-220042-2-400004i−4i−4i4i−2i−2i2i2i0000000-22000000000000002i−2i000000000000000000000000000000
χ6244-4-44-2-444-22-42-4-2002-220042-2-40000−4i4i4i−4i2i2i−2i−2i0000000-2200000000000000−2i2i000000000000000000000000000000
χ6344-4-4-244-4-24-42-42-24i−4i2-220024-4-20000000000000−2i2i4i−4i002-200000000000000000000000−2i2i000000000000000000000
χ6444-4-4-244-4-24-42-42-2−4i4i2-220024-4-200000000000002i−2i−4i4i002-2000000000000000000000002i−2i000000000000000000000
χ6544-4-4-24-44-24-42-42-2002-2200-2-4420000000000000000000-22000000004-40000000000000000000-22000000000000000
χ6644-4-4-24-44-24-42-42-2002-2200-2-4420000000000000000000-2200000000-4400000000000000000002-2000000000000000
χ6744-4-4-2-24-4-2-2222214i−4i-11-1002-22-2−2i3−2i32i32i3000000000−2i2i−2i2i23−23-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ6844-4-4-2-24-4-2-2222214i−4i-11-1002-22-22i32i3−2i3−2i3000000000−2i2i−2i2i−2323-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ6944-4-4-2-24-4-2-222221−4i4i-11-1002-22-2−2i3−2i32i32i30000000002i−2i2i−2i−2323-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ7044-4-4-2-24-4-2-222221−4i4i-11-1002-22-22i32i3−2i3−2i30000000002i−2i2i−2i23−23-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ714-44-44400-4-4-444-4400-4-4400000000000000000000000000000000000000022−22000022−2222−22000000000000000000000000
χ724-44-44400-4-4-444-4400-4-44000000000000000000000000000000000000000−22220000−2222−2222000000000000000000000000
χ734-44-44-200-4224-2-4-20022-2000000i6−i6i6−i60000−2i32i3−2i32i300000000000i6−i6i6−i600000022−220000−22−22000000000000000000000000
χ744-44-44-200-4224-2-4-20022-2000000i6−i6i6−i600002i3−2i32i3−2i300000000000i6−i6i6−i6000000−222200002−22−2000000000000000000000000
χ754-44-44-200-4224-2-4-20022-2000000−i6i6−i6i60000−2i32i3−2i32i300000000000−i6i6−i6i6000000−222200002−22−2000000000000000000000000
χ764-44-44-200-4224-2-4-20022-2000000−i6i6−i6i600002i3−2i32i3−2i300000000000−i6i6−i6i600000022−220000−22−22000000000000000000000000
χ774-4-444400-4-44-4-444004-4-422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ784-4-444400-4-44-4-444004-4-4−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ794-4-444-200-42-2-424-200-22222−220000−222−2000023−23−232300000000022−22−222−2000000000000−666−6000000000000000000000000
χ804-4-444-200-42-2-424-200-22222−220000−222−20000−232323−2300000000022−22−222−20000000000006−6−66000000000000000000000000
χ814-4-444-200-42-2-424-200-222−222200002−2−22000023−23−2323000000000−22222−2−220000000000006−6−66000000000000000000000000
χ824-4-444-200-42-2-424-200-222−222200002−2−220000−232323−23000000000−22222−2−22000000000000−666−6000000000000000000000000
χ834-4-44-24002-442-4-2-200-22222−22000022−22−222200000000000000000−22−222−2000000000023−2300000000000000000006−60000000
χ844-4-44-24002-442-4-2-200-22222−22000022−22−222200000000000000000−22−222−20000000000−23230000000000000000000−660000000
χ854-4-44-24002-442-4-2-200-222−22220000−222222−22000000000000000002−22−2−22000000000023−230000000000000000000−660000000
χ864-4-44-24002-442-4-2-200-222−22220000−222222−22000000000000000002−22−2−220000000000−232300000000000000000006−60000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-88-4-44444200-22-200-44-4400000000000000000002-20000000000000000000000000000000000000000000000
χ898-88-8-48004-8-8-484-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400444-4-44200-2-220000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ918-88-8-4-400444-4-44200-2-22000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ928-8-88-4-40044-444-42002-2-242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ938-8-88-4-40044-444-42002-2-2−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).